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Finding the Fourth Proportional to 1,114.53, 1,538.19 and 672.67

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Solution

The fourth proportional to 1,114.53, 1,538.19 and 672.67 is: 928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.53 : 1,538.19 = 672.67 : x
  2. Step 2: Convert to fraction form
    1,114.53/1,538.19 = 672.67/x
  3. Step 3: Cross multiply
    1,114.53x = 1,538.19 × 672.67
  4. Step 4: Simplify right side
    1,114.53x = 1,034,696.19
  5. Step 5: Solve for x
    x = 1,034,696.19/1,114.53
  6. Step 6: Final answer
    x = 928.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.